We're dividing 186131 by 30 
We want to figure out the number of times 186131 can be divided by 30.

Step 1:
If we divide 1 by 30, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 30

Advancing to step 2:
30 can be fit into 18 0 times, resulting in a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 18 and we're left with 18.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 30

Advancing to step 3:
When dividing 186 by 30, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 6 after subtracting 180 from 186.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 30

Let's proceed to step 4:
If we divide 61 by 30, we get 2 and a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Deduct 60 from 61 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 30

Advancing to step 5:
30 can be fit into 13 0 times, resulting in a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 620.0
The remainder is 13 after subtracting 0 from 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 30

Advancing to step 6:
131 divided by 30 is 4 with a remainder of 11.
Put 4 as the next digit of the answer. 
Result so far: 6204.0
If we take 120 away from 131, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
If we divide 110 by 30, we get 3 and a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 6204.3
If we take 90 away from 110, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
30 can be fit into 200 6 times, resulting in a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 6204.36
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
30 can be fit into 200 6 times, resulting in a remainder of 20.
The next digit of our result is 6. 
Result so far: 6204.366
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 6204.366, and the remainder is 0.002.